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One-Way and Fully-Coupled FE2 Methods for Heterogeneous Elasticity and Plasticity Problems: Parallel Scalability and an Application to Thermo-Elastoplasticity of Dual-Phase Steels

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Software for Exascale Computing - SPPEXA 2013-2015

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 113))

Abstract

In this paper, aspects of the two-scale simulation of dual-phase steels are considered. First, we present two-scale simulations applying a top-down one-way coupling to a full thermo-elastoplastic model in order to study the emerging temperature field. We find that, for our purposes, the consideration of thermo-mechanics at the microscale is not necessary. Second, we present highly parallel fully-coupled two-scale FE2 simulations, now neglecting temperature, using up to 458, 752 cores of the JUQUEEN supercomputer at Forschungszentrum Jülich. The strong and weak parallel scalability results obtained for heterogeneous nonlinear hyperelasticity exemplify the massively parallel potential of the FE2 multiscale method.

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Notes

  1. 1.

    http://www.fz-juelich.de/ias/jsc/EN/Expertise/High-Q-Club/FE2TI/_node.html

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Acknowledgements

This work was supported by the German Research Foundation (DFG) through the Priority Program 1648 “Software for Exascale Computing” (SPPEXA ), projects BA 2823/8-1, KL 2094/4-1, RH 122/2-1, and SCHR 570/19-1.

The authors gratefully acknowledge the Gauss Centre for Supercomputing (GCS) for providing computing time through the John von Neumann Institute for Computing (NIC) on the GCS share of the supercomputer JUQUEEN [30] at Jülich Supercomputing Centre (JSC). GCS is the alliance of the three national supercomputing centres HLRS (Universität Stuttgart), JSC (Forschungszentrum Jülich), and LRZ (Bayerische Akademie der Wissenschaften), funded by the German Federal Ministry of Education and Research (BMBF) and the German State Ministries for Research of Baden-Württemberg (MWK), Bayern (StMWFK) and Nordrhein-Westfalen (MIWF).

The use of CHEOPS at Universität zu Köln and of the High Performance Cluster at Technische Universität Bergakademie Freiberg are also gratefully acknowledged. Furthermore, the authors D. Balzani and A. Gandhi appreciate S. Prüger for helpful scientific discussions.

Author information

Authors and Affiliations

  1. Faculty of Civil Engineering, Institute of Mechanics and Shell Structures, TU Dresden, Dresden, Germany

    Daniel Balzani & Ashutosh Gandhi

  2. Mathematisches Institut, Universität zu Köln, Köln, Germany

    Axel Klawonn & Martin Lanser

  3. Institut für Numerische Mathematik und Optimierung, Technische Universität Bergakademie Freiberg, Freiberg, Germany

    Oliver Rheinbach

  4. Faculty of Engineering, Department of Civil Engineering, Institute of Mechanics, Universität Duisburg-Essen, Essen, Germany

    Jörg Schröder

Authors
  1. Daniel Balzani
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  2. Ashutosh Gandhi
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  3. Axel Klawonn
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  4. Martin Lanser
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  5. Oliver Rheinbach
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  6. Jörg Schröder
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Corresponding authors

Correspondence to Daniel Balzani , Ashutosh Gandhi , Axel Klawonn , Martin Lanser , Oliver Rheinbach or Jörg Schröder .

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Editors and Affiliations

  1. Technische Universität München Institut für Informatik, Garching, Bayern, Germany

    Hans-Joachim Bungartz

  2. Technische Universität München Institut für Informatik, Garching, Germany

    Philipp Neumann

  3. Technische Universität Dresden, Dresden, Germany

    Wolfgang E. Nagel

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Balzani, D., Gandhi, A., Klawonn, A., Lanser, M., Rheinbach, O., Schröder, J. (2016). One-Way and Fully-Coupled FE2 Methods for Heterogeneous Elasticity and Plasticity Problems: Parallel Scalability and an Application to Thermo-Elastoplasticity of Dual-Phase Steels. In: Bungartz, HJ., Neumann, P., Nagel, W. (eds) Software for Exascale Computing - SPPEXA 2013-2015. Lecture Notes in Computational Science and Engineering, vol 113. Springer, Cham. https://doi.org/10.1007/978-3-319-40528-5_5

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